1. Given the following circuit ic + iL! C R where C = 0.125F, L = 8H, and R = 20k2, with initial conditions vc(0+) = OV and i(0*) = -12.25mA, complete the following: (a) (25 points) Calculate the roots of the characteristic equation. (b) (25 points) Calculate v and dv/dt at time t = 0*. (c) (25 points) Calculate the voltage response for t 2 0. (d)(25 points) Use NI Multisim to simulate the circuit and plot v(t) versus t for 0 st